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Finding the Fourth Proportional to 316,808.48, 475,204.52 and 106,446.42

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Solution

The fourth proportional to 316,808.48, 475,204.52 and 106,446.42 is: 159,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,808.48 : 475,204.52 = 106,446.42 : x
  2. Step 2: Convert to fraction form
    316,808.48/475,204.52 = 106,446.42/x
  3. Step 3: Cross multiply
    316,808.48x = 475,204.52 × 106,446.42
  4. Step 4: Simplify right side
    316,808.48x = 50,583,820,187.93
  5. Step 5: Solve for x
    x = 50,583,820,187.93/316,808.48
  6. Step 6: Final answer
    x = 159,666.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.